version 1.5, 2013/01/14 18:27:45
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version 1.18, 2013/10/01 01:57:44
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===========================================*/ | ===========================================*/ |
#include <math.h> | #include <math.h> |
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#include <mkl.h> |
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#define PI (M_PI) | #define PI (M_PI) |
#define MUNAUGHT (0.0000012566370614) /* magnetic constant */ | #define MUNAUGHT (0.0000012566370614) /* magnetic constant */ |
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// 5: pixels for which the radial acute disambiguation solution was chosen | // 5: pixels for which the radial acute disambiguation solution was chosen |
// 7: pixels for which the radial acute and NRWA disambiguation agree | // 7: pixels for which the radial acute and NRWA disambiguation agree |
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int computeAbsFlux(float *bz, int *dims, float *absFlux, |
int computeAbsFlux(float *bz_err, float *bz, int *dims, float *absFlux, |
float *mean_vf_ptr, int *mask, int *bitmask, |
float *mean_vf_ptr, float *mean_vf_err_ptr, float *count_mask_ptr, int *mask, |
float cdelt1, double rsun_ref, double rsun_obs) |
int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
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{ | { |
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int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i = 0; |
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int j = 0; |
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int count_mask = 0; |
double sum=0.0; | double sum=0.0; |
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double err = 0.0; |
if (nx <= 0 || ny <= 0) return 1; |
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*absFlux = 0.0; | *absFlux = 0.0; |
*mean_vf_ptr =0.0; | *mean_vf_ptr =0.0; |
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if (nx <= 0 || ny <= 0) return 1; |
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for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
{ | { |
for (j = 0; j < ny; j++) | for (j = 0; j < ny; j++) |
Line 88 int computeAbsFlux(float *bz, int *dims, |
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Line 93 int computeAbsFlux(float *bz, int *dims, |
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if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
sum += (fabs(bz[j * nx + i])); | sum += (fabs(bz[j * nx + i])); |
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//printf("i,j,bz[j * nx + i]=%d,%d,%f\n",i,j,bz[j * nx + i]); |
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err += bz_err[j * nx + i]*bz_err[j * nx + i]; |
count_mask++; | count_mask++; |
} | } |
} | } |
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printf("nx=%d,ny=%d,count_mask=%d,sum=%f\n",nx,ny,count_mask,sum); |
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printf("cdelt1=%f,rsun_ref=%f,rsun_obs=%f\n",cdelt1,rsun_ref,rsun_obs); |
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*mean_vf_ptr = sum*cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0; | *mean_vf_ptr = sum*cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0; |
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*mean_vf_err_ptr = (sqrt(err))*fabs(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0); // error in the unsigned flux |
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*count_mask_ptr = count_mask; |
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//printf("cdelt1=%f\n",cdelt1); |
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//printf("rsun_obs=%f\n",rsun_obs); |
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//printf("rsun_ref=%f\n",rsun_ref); |
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//printf("CMASK=%g\n",*count_mask_ptr); |
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//printf("USFLUX=%g\n",*mean_vf_ptr); |
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//printf("sum=%f\n",sum); |
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//printf("USFLUX_err=%g\n",*mean_vf_err_ptr); |
return 0; | return 0; |
} | } |
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/*===========================================*/ | /*===========================================*/ |
/* Example function 2: Calculate Bh in units of Gauss */ |
/* Example function 2: Calculate Bh, the horizontal field, in units of Gauss */ |
// Native units of Bh are Gauss | // Native units of Bh are Gauss |
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int computeBh(float *bx, float *by, float *bz, float *bh, int *dims, |
int computeBh(float *bx_err, float *by_err, float *bh_err, float *bx, float *by, float *bz, float *bh, int *dims, |
float *mean_hf_ptr, int *mask, int *bitmask) | float *mean_hf_ptr, int *mask, int *bitmask) |
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{ | { |
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int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
float sum=0.0; |
int i = 0; |
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int j = 0; |
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int count_mask = 0; |
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double sum = 0.0; |
*mean_hf_ptr =0.0; | *mean_hf_ptr =0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
Line 122 int computeBh(float *bx, float *by, floa |
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Line 139 int computeBh(float *bx, float *by, floa |
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if isnan(by[j * nx + i]) continue; | if isnan(by[j * nx + i]) continue; |
bh[j * nx + i] = sqrt( bx[j * nx + i]*bx[j * nx + i] + by[j * nx + i]*by[j * nx + i] ); | bh[j * nx + i] = sqrt( bx[j * nx + i]*bx[j * nx + i] + by[j * nx + i]*by[j * nx + i] ); |
sum += bh[j * nx + i]; | sum += bh[j * nx + i]; |
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bh_err[j * nx + i]=sqrt( bx[j * nx + i]*bx[j * nx + i]*bx_err[j * nx + i]*bx_err[j * nx + i] + by[j * nx + i]*by[j * nx + i]*by_err[j * nx + i]*by_err[j * nx + i])/ bh[j * nx + i]; |
count_mask++; | count_mask++; |
} | } |
} | } |
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*mean_hf_ptr = sum/(count_mask); // would be divided by nx*ny if shape of count_mask = shape of magnetogram | *mean_hf_ptr = sum/(count_mask); // would be divided by nx*ny if shape of count_mask = shape of magnetogram |
printf("*mean_hf_ptr=%f\n",*mean_hf_ptr); |
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return 0; | return 0; |
} | } |
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/*===========================================*/ | /*===========================================*/ |
/* Example function 3: Calculate Gamma in units of degrees */ | /* Example function 3: Calculate Gamma in units of degrees */ |
// Native units of atan(x) are in radians; to convert from radians to degrees, multiply by (180./PI) | // Native units of atan(x) are in radians; to convert from radians to degrees, multiply by (180./PI) |
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// Redo calculation in radians for error analysis (since derivatives are only true in units of radians). |
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int computeGamma(float *bz_err, float *bh_err, float *bx, float *by, float *bz, float *bh, int *dims, |
int computeGamma(float *bx, float *by, float *bz, float *bh, int *dims, |
float *mean_gamma_ptr, float *mean_gamma_err_ptr, int *mask, int *bitmask) |
float *mean_gamma_ptr, int *mask, int *bitmask) |
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{ | { |
int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i = 0; |
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int j = 0; |
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int count_mask = 0; |
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double sum = 0.0; |
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double err = 0.0; |
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*mean_gamma_ptr = 0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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*mean_gamma_ptr=0.0; |
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float sum=0.0; |
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int count=0; |
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for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
{ | { |
for (j = 0; j < ny; j++) | for (j = 0; j < ny; j++) |
Line 156 int computeGamma(float *bx, float *by, f |
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Line 176 int computeGamma(float *bx, float *by, f |
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{ | { |
if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
sum += (atan (fabs( bz[j * nx + i] / bh[j * nx + i] ))* (180./PI)); |
if isnan(bz_err[j * nx + i]) continue; |
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if isnan(bh_err[j * nx + i]) continue; |
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if (bz[j * nx + i] == 0) continue; |
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sum += (atan(fabs(bz[j * nx + i]/bh[j * nx + i] )))*(180./PI); |
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err += (( sqrt ( ((bz_err[j * nx + i]*bz_err[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i])) + ((bh_err[j * nx + i]*bh_err[j * nx + i])/(bh[j * nx + i]*bh[j * nx + i]))) * fabs(bz[j * nx + i]/bh[j * nx + i]) ) / (1 + (bz[j * nx + i]/bh[j * nx + i])*(bz[j * nx + i]/bh[j * nx + i]))) *(180./PI); |
count_mask++; | count_mask++; |
} | } |
} | } |
} | } |
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*mean_gamma_ptr = sum/count_mask; | *mean_gamma_ptr = sum/count_mask; |
printf("*mean_gamma_ptr=%f\n",*mean_gamma_ptr); |
*mean_gamma_err_ptr = (sqrt(err*err))/(count_mask*100.0); // error in the quantity (sum)/(count_mask) |
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//printf("MEANGAM=%f\n",*mean_gamma_ptr); |
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//printf("MEANGAM_err=%f\n",*mean_gamma_err_ptr); |
return 0; | return 0; |
} | } |
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Line 171 int computeGamma(float *bx, float *by, f |
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Line 197 int computeGamma(float *bx, float *by, f |
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/* Example function 4: Calculate B_Total*/ | /* Example function 4: Calculate B_Total*/ |
// Native units of B_Total are in gauss | // Native units of B_Total are in gauss |
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int computeB_total(float *bx, float *by, float *bz, float *bt, int *dims, int *mask, int *bitmask) |
int computeB_total(float *bx_err, float *by_err, float *bz_err, float *bt_err, float *bx, float *by, float *bz, float *bt, int *dims, int *mask, int *bitmask) |
{ | { |
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int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i = 0; |
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int j = 0; |
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int count_mask = 0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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Line 187 int computeB_total(float *bx, float *by, |
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Line 216 int computeB_total(float *bx, float *by, |
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if isnan(by[j * nx + i]) continue; | if isnan(by[j * nx + i]) continue; |
if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
bt[j * nx + i] = sqrt( bx[j * nx + i]*bx[j * nx + i] + by[j * nx + i]*by[j * nx + i] + bz[j * nx + i]*bz[j * nx + i]); | bt[j * nx + i] = sqrt( bx[j * nx + i]*bx[j * nx + i] + by[j * nx + i]*by[j * nx + i] + bz[j * nx + i]*bz[j * nx + i]); |
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bt_err[j * nx + i]=sqrt(bx[j * nx + i]*bx[j * nx + i]*bx_err[j * nx + i]*bx_err[j * nx + i] + by[j * nx + i]*by[j * nx + i]*by_err[j * nx + i]*by_err[j * nx + i] + bz[j * nx + i]*bz[j * nx + i]*bz_err[j * nx + i]*bz_err[j * nx + i] )/bt[j * nx + i]; |
} | } |
} | } |
return 0; | return 0; |
Line 195 int computeB_total(float *bx, float *by, |
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Line 225 int computeB_total(float *bx, float *by, |
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/*===========================================*/ | /*===========================================*/ |
/* Example function 5: Derivative of B_Total SQRT( (dBt/dx)^2 + (dBt/dy)^2 ) */ | /* Example function 5: Derivative of B_Total SQRT( (dBt/dx)^2 + (dBt/dy)^2 ) */ |
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int computeBtotalderivative(float *bt, int *dims, float *mean_derivative_btotal_ptr, int *mask, int *bitmask, float *derx_bt, float *dery_bt) |
int computeBtotalderivative(float *bt, int *dims, float *mean_derivative_btotal_ptr, int *mask, int *bitmask, float *derx_bt, float *dery_bt, float *bt_err, float *mean_derivative_btotal_err_ptr) |
{ | { |
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int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i = 0; |
if (nx <= 0 || ny <= 0) return 1; |
int j = 0; |
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int count_mask = 0; |
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double sum = 0.0; |
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double err = 0.0; |
*mean_derivative_btotal_ptr = 0.0; | *mean_derivative_btotal_ptr = 0.0; |
float sum = 0.0; |
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if (nx <= 0 || ny <= 0) return 1; |
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/* brute force method of calculating the derivative (no consideration for edges) */ | /* brute force method of calculating the derivative (no consideration for edges) */ |
for (i = 1; i <= nx-2; i++) | for (i = 1; i <= nx-2; i++) |
Line 260 int computeBtotalderivative(float *bt, i |
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Line 292 int computeBtotalderivative(float *bt, i |
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if isnan(derx_bt[j * nx + i]) continue; | if isnan(derx_bt[j * nx + i]) continue; |
if isnan(dery_bt[j * nx + i]) continue; | if isnan(dery_bt[j * nx + i]) continue; |
sum += sqrt( derx_bt[j * nx + i]*derx_bt[j * nx + i] + dery_bt[j * nx + i]*dery_bt[j * nx + i] ); /* Units of Gauss */ | sum += sqrt( derx_bt[j * nx + i]*derx_bt[j * nx + i] + dery_bt[j * nx + i]*dery_bt[j * nx + i] ); /* Units of Gauss */ |
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err += (2.0)*bt_err[j * nx + i]*bt_err[j * nx + i]; |
count_mask++; | count_mask++; |
} | } |
} | } |
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*mean_derivative_btotal_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram | *mean_derivative_btotal_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram |
printf("*mean_derivative_btotal_ptr=%f\n",*mean_derivative_btotal_ptr); |
*mean_derivative_btotal_err_ptr = (sqrt(err))/(count_mask); // error in the quantity (sum)/(count_mask) |
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//printf("MEANGBT=%f\n",*mean_derivative_btotal_ptr); |
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//printf("MEANGBT_err=%f\n",*mean_derivative_btotal_err_ptr); |
return 0; | return 0; |
} | } |
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Line 273 int computeBtotalderivative(float *bt, i |
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Line 308 int computeBtotalderivative(float *bt, i |
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/*===========================================*/ | /*===========================================*/ |
/* Example function 6: Derivative of Bh SQRT( (dBh/dx)^2 + (dBh/dy)^2 ) */ | /* Example function 6: Derivative of Bh SQRT( (dBh/dx)^2 + (dBh/dy)^2 ) */ |
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int computeBhderivative(float *bh, int *dims, float *mean_derivative_bh_ptr, int *mask, int *bitmask, float *derx_bh, float *dery_bh) |
int computeBhderivative(float *bh, float *bh_err, int *dims, float *mean_derivative_bh_ptr, float *mean_derivative_bh_err_ptr, int *mask, int *bitmask, float *derx_bh, float *dery_bh) |
{ | { |
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int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i = 0; |
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int j = 0; |
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int count_mask = 0; |
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double sum= 0.0; |
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double err =0.0; |
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*mean_derivative_bh_ptr = 0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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*mean_derivative_bh_ptr = 0.0; |
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float sum = 0.0; |
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/* brute force method of calculating the derivative (no consideration for edges) */ | /* brute force method of calculating the derivative (no consideration for edges) */ |
for (i = 1; i <= nx-2; i++) | for (i = 1; i <= nx-2; i++) |
{ | { |
Line 337 int computeBhderivative(float *bh, int * |
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Line 375 int computeBhderivative(float *bh, int * |
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if isnan(derx_bh[j * nx + i]) continue; | if isnan(derx_bh[j * nx + i]) continue; |
if isnan(dery_bh[j * nx + i]) continue; | if isnan(dery_bh[j * nx + i]) continue; |
sum += sqrt( derx_bh[j * nx + i]*derx_bh[j * nx + i] + dery_bh[j * nx + i]*dery_bh[j * nx + i] ); /* Units of Gauss */ | sum += sqrt( derx_bh[j * nx + i]*derx_bh[j * nx + i] + dery_bh[j * nx + i]*dery_bh[j * nx + i] ); /* Units of Gauss */ |
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err += (2.0)*bh_err[j * nx + i]*bh_err[j * nx + i]; |
count_mask++; | count_mask++; |
} | } |
} | } |
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*mean_derivative_bh_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram | *mean_derivative_bh_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram |
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*mean_derivative_bh_err_ptr = (sqrt(err))/(count_mask); // error in the quantity (sum)/(count_mask) |
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//printf("MEANGBH=%f\n",*mean_derivative_bh_ptr); |
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//printf("MEANGBH_err=%f\n",*mean_derivative_bh_err_ptr); |
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return 0; | return 0; |
} | } |
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/*===========================================*/ | /*===========================================*/ |
/* Example function 7: Derivative of B_vertical SQRT( (dBz/dx)^2 + (dBz/dy)^2 ) */ | /* Example function 7: Derivative of B_vertical SQRT( (dBz/dx)^2 + (dBz/dy)^2 ) */ |
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int computeBzderivative(float *bz, int *dims, float *mean_derivative_bz_ptr, int *mask, int *bitmask, float *derx_bz, float *dery_bz) |
int computeBzderivative(float *bz, float *bz_err, int *dims, float *mean_derivative_bz_ptr, float *mean_derivative_bz_err_ptr, int *mask, int *bitmask, float *derx_bz, float *dery_bz) |
{ | { |
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int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i = 0; |
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int j = 0; |
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int count_mask = 0; |
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double sum = 0.0; |
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double err = 0.0; |
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*mean_derivative_bz_ptr = 0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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*mean_derivative_bz_ptr = 0.0; |
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float sum = 0.0; |
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/* brute force method of calculating the derivative (no consideration for edges) */ | /* brute force method of calculating the derivative (no consideration for edges) */ |
for (i = 1; i <= nx-2; i++) | for (i = 1; i <= nx-2; i++) |
{ | { |
Line 417 int computeBzderivative(float *bz, int * |
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Line 463 int computeBzderivative(float *bz, int * |
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// if ( (derx_bz[j * nx + i]-dery_bz[j * nx + i]) == 0) continue; | // if ( (derx_bz[j * nx + i]-dery_bz[j * nx + i]) == 0) continue; |
if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
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//if isnan(bz_err[j * nx + i]) continue; |
if isnan(derx_bz[j * nx + i]) continue; | if isnan(derx_bz[j * nx + i]) continue; |
if isnan(dery_bz[j * nx + i]) continue; | if isnan(dery_bz[j * nx + i]) continue; |
sum += sqrt( derx_bz[j * nx + i]*derx_bz[j * nx + i] + dery_bz[j * nx + i]*dery_bz[j * nx + i] ); /* Units of Gauss */ | sum += sqrt( derx_bz[j * nx + i]*derx_bz[j * nx + i] + dery_bz[j * nx + i]*dery_bz[j * nx + i] ); /* Units of Gauss */ |
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err += 2.0*bz_err[j * nx + i]*bz_err[j * nx + i]; |
count_mask++; | count_mask++; |
} | } |
} | } |
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*mean_derivative_bz_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram | *mean_derivative_bz_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram |
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*mean_derivative_bz_err_ptr = (sqrt(err))/(count_mask); // error in the quantity (sum)/(count_mask) |
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//printf("MEANGBZ=%f\n",*mean_derivative_bz_ptr); |
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//printf("MEANGBZ_err=%f\n",*mean_derivative_bz_err_ptr); |
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return 0; | return 0; |
} | } |
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Line 445 int computeBzderivative(float *bz, int * |
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Line 497 int computeBzderivative(float *bz, int * |
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// | // |
// To change units from Gauss/pixel to mA/m^2 (the units for Jz in Leka and Barnes, 2003), | // To change units from Gauss/pixel to mA/m^2 (the units for Jz in Leka and Barnes, 2003), |
// one must perform the following unit conversions: | // one must perform the following unit conversions: |
// (Gauss/pix)(pix/arcsec)(arcsec/meter)(Newton/Gauss*Ampere*meter)(Ampere^2/Newton)(milliAmpere/Ampere), or |
// (Gauss)(1/arcsec)(arcsec/meter)(Newton/Gauss*Ampere*meter)(Ampere^2/Newton)(milliAmpere/Ampere), or |
// (Gauss/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF)(1 T / 10^4 Gauss)(1 / 4*PI*10^-7)( 10^3 milliAmpere/Ampere), |
// (Gauss)(1/CDELT1)(RSUN_OBS/RSUN_REF)(1 T / 10^4 Gauss)(1 / 4*PI*10^-7)( 10^3 milliAmpere/Ampere), or |
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// (Gauss)(1/CDELT1)(RSUN_OBS/RSUN_REF)(0.00010)(1/MUNAUGHT)(1000.), |
// where a Tesla is represented as a Newton/Ampere*meter. | // where a Tesla is represented as a Newton/Ampere*meter. |
// | // |
// As an order of magnitude estimate, we can assign 0.5 to CDELT1 and 722500m/arcsec to (RSUN_REF/RSUN_OBS). | // As an order of magnitude estimate, we can assign 0.5 to CDELT1 and 722500m/arcsec to (RSUN_REF/RSUN_OBS). |
Line 455 int computeBzderivative(float *bz, int * |
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Line 508 int computeBzderivative(float *bz, int * |
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// jz * (35.0) | // jz * (35.0) |
// | // |
// The units of total unsigned vertical current (us_i) are simply in A. In this case, we would have the following: | // The units of total unsigned vertical current (us_i) are simply in A. In this case, we would have the following: |
// (Gauss/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(RSUN_REF/RSUN_OBS)(1000.) |
// (Gauss/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF)(0.00010)(1/MUNAUGHT)(CDELT1)(CDELT1)(RSUN_REF/RSUN_OBS)(RSUN_REF/RSUN_OBS) |
// =(Gauss/pix)(1/CDELT1)(0.0010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(1000.) |
// = (Gauss/pix)(0.00010)(1/MUNAUGHT)(CDELT1)(RSUN_REF/RSUN_OBS) |
// =(Gauss/pix)(1/0.5)(10^-4)(4*PI*10^7)(722500)(1000.) |
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// =(Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(1000.) |
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int computeJz(float *bx, float *by, int *dims, float *jz, |
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int *mask, int *bitmask, |
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float cdelt1, double rsun_ref, double rsun_obs,float *derx, float *dery) |
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// Comment out random number generator, which can only run on solar3 |
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//int computeJz(float *bx_err, float *by_err, float *bx, float *by, int *dims, float *jz, float *jz_err, float *jz_err_squared, |
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// int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs,float *derx, float *dery, float *noisebx, |
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// float *noiseby, float *noisebz) |
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int computeJz(float *bx_err, float *by_err, float *bx, float *by, int *dims, float *jz, float *jz_err, float *jz_err_squared, |
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int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs,float *derx, float *dery) |
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{ |
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int nx = dims[0], ny = dims[1]; |
{ |
int i, j, count_mask=0; |
int nx = dims[0]; |
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int ny = dims[1]; |
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int i = 0; |
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int j = 0; |
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int count_mask = 0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
float curl=0.0, us_i=0.0,test_perimeter=0.0,mean_curl=0.0; |
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/* Calculate the derivative*/ |
/* brute force method of calculating the derivative (no consideration for edges) */ | /* brute force method of calculating the derivative (no consideration for edges) */ |
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for (i = 1; i <= nx-2; i++) | for (i = 1; i <= nx-2; i++) |
{ | { |
for (j = 0; j <= ny-1; j++) | for (j = 0; j <= ny-1; j++) |
Line 485 int computeJz(float *bx, float *by, int |
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Line 542 int computeJz(float *bx, float *by, int |
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} | } |
} | } |
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/* brute force method of calculating the derivative (no consideration for edges) */ |
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for (i = 0; i <= nx-1; i++) | for (i = 0; i <= nx-1; i++) |
{ | { |
for (j = 1; j <= ny-2; j++) | for (j = 1; j <= ny-2; j++) |
Line 495 int computeJz(float *bx, float *by, int |
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Line 551 int computeJz(float *bx, float *by, int |
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} | } |
} | } |
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// consider the edges |
/* consider the edges */ |
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i=0; | i=0; |
for (j = 0; j <= ny-1; j++) | for (j = 0; j <= ny-1; j++) |
{ | { |
Line 525 int computeJz(float *bx, float *by, int |
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Line 580 int computeJz(float *bx, float *by, int |
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dery[j * nx + i] = ( (3*bx[j * nx + i]) + (-4*bx[(j-1) * nx + i]) - (-bx[(j-2) * nx + i]) )*0.5; | dery[j * nx + i] = ( (3*bx[j * nx + i]) + (-4*bx[(j-1) * nx + i]) - (-bx[(j-2) * nx + i]) )*0.5; |
} | } |
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for (i = 1; i <= nx-2; i++) |
for (i = 0; i <= nx-1; i++) |
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{ | { |
for (j = 0; j <= ny-1; j++) |
for (j = 1; j <= ny-2; j++) |
{ | { |
/* calculate jz at all points */ |
// calculate jz at all points |
jz[j * nx + i] = (derx[j * nx + i]-dery[j * nx + i]); /* jz is in units of Gauss/pix */ |
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jz[j * nx + i] = (derx[j * nx + i]-dery[j * nx + i]); // jz is in units of Gauss/pix |
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// the next 7 lines can be used with a for loop that goes from i=0;i<=nx-1 and j=0;j<=ny-1. |
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//int i1, j1,i2, j2; |
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//i1 = i + 1 ; if (i1 >nx-1){i1=nx-1;} |
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//j1 = j + 1 ; if (j1 >ny-1){j1=ny-1;} |
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//i2 = i - 1; if (i2 < 0){i2 = 0;} |
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//j2 = j - 1; if (j2 < 0){i2 = 0;} |
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//jz_err[j * nx + i] = 0.5*sqrt( (bx_err[j1 * nx + i]*bx_err[j1 * nx + i]) + (bx_err[j2 * nx + i]*bx_err[j2 * nx + i]) + |
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// (by_err[j * nx + i1]*by_err[j * nx + i1]) + (by_err[j * nx + i2]*by_err[j * nx + i2]) ) ; |
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jz_err[j * nx + i] = 0.5*sqrt( (bx_err[(j+1) * nx + i]*bx_err[(j+1) * nx + i]) + (bx_err[(j-1) * nx + i]*bx_err[(j-1) * nx + i]) + |
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(by_err[j * nx + (i+1)]*by_err[j * nx + (i+1)]) + (by_err[j * nx + (i-1)]*by_err[j * nx + (i-1)]) ) ; |
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jz_err_squared[j * nx + i]= (jz_err[j * nx + i]*jz_err[j * nx + i]); |
count_mask++; | count_mask++; |
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} | } |
} | } |
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return 0; | return 0; |
} | } |
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/*===========================================*/ | /*===========================================*/ |
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/* Example function 9: Compute quantities on smoothed Jz array */ |
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int computeJzsmooth(float *bx, float *by, int *dims, float *jz_smooth, |
/* Example function 9: Compute quantities on Jz array */ |
float *mean_jz_ptr, float *us_i_ptr, int *mask, int *bitmask, |
// Compute mean and total current on Jz array. |
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int computeJzsmooth(float *bx, float *by, int *dims, float *jz, float *jz_smooth, float *jz_err, float *jz_rms_err, float *jz_err_squared_smooth, |
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float *mean_jz_ptr, float *mean_jz_err_ptr, float *us_i_ptr, float *us_i_err_ptr, int *mask, int *bitmask, |
float cdelt1, double rsun_ref, double rsun_obs,float *derx, float *dery) | float cdelt1, double rsun_ref, double rsun_obs,float *derx, float *dery) |
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{ | { |
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int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i = 0; |
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int j = 0; |
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int count_mask = 0; |
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double curl = 0.0; |
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double us_i = 0.0; |
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double err = 0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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*mean_jz_ptr = 0.0; |
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float curl=0.0, us_i=0.0,test_perimeter=0.0,mean_curl=0.0; |
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/* At this point, use the smoothed Jz array with a Gaussian (FWHM of 4 pix and truncation width of 12 pixels) but keep the original array dimensions*/ | /* At this point, use the smoothed Jz array with a Gaussian (FWHM of 4 pix and truncation width of 12 pixels) but keep the original array dimensions*/ |
for (i = 0; i <= nx-1; i++) | for (i = 0; i <= nx-1; i++) |
{ | { |
Line 566 int computeJzsmooth(float *bx, float *by |
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Line 638 int computeJzsmooth(float *bx, float *by |
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if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
if isnan(derx[j * nx + i]) continue; | if isnan(derx[j * nx + i]) continue; |
if isnan(dery[j * nx + i]) continue; | if isnan(dery[j * nx + i]) continue; |
if isnan(jz_smooth[j * nx + i]) continue; |
if isnan(jz[j * nx + i]) continue; |
//printf("%d,%d,%f\n",i,j,jz_smooth[j * nx + i]); |
curl += (jz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref)*(0.00010)*(1/MUNAUGHT)*(1000.); /* curl is in units of mA / m^2 */ |
curl += (jz_smooth[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref)*(0.00010)*(1/MUNAUGHT)*(1000.); /* curl is in units of mA / m^2 */ |
us_i += fabs(jz[j * nx + i])*(cdelt1/1)*(rsun_ref/rsun_obs)*(0.00010)*(1/MUNAUGHT); /* us_i is in units of A */ |
us_i += fabs(jz_smooth[j * nx + i])*(1/cdelt1)*(rsun_ref/rsun_obs)*(0.00010)*(1/MUNAUGHT); /* us_i is in units of A / m^2 */ |
err += (jz_err[j * nx + i]*jz_err[j * nx + i]); |
count_mask++; | count_mask++; |
} | } |
} | } |
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/* Calculate mean vertical current density (mean_curl) and total unsigned vertical current (us_i) using smoothed Jz array and continue conditions above */ |
/* Calculate mean vertical current density (mean_jz) and total unsigned vertical current (us_i) using smoothed Jz array and continue conditions above */ |
mean_curl = (curl/count_mask); |
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printf("mean_curl=%f\n",mean_curl); |
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printf("cdelt1, what is it?=%f\n",cdelt1); |
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*mean_jz_ptr = curl/(count_mask); /* mean_jz gets populated as MEANJZD */ | *mean_jz_ptr = curl/(count_mask); /* mean_jz gets populated as MEANJZD */ |
printf("count_mask=%d\n",count_mask); |
*mean_jz_err_ptr = (sqrt(err))*fabs(((rsun_obs/rsun_ref)*(0.00010)*(1/MUNAUGHT)*(1000.))/(count_mask)); // error in the quantity MEANJZD |
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*us_i_ptr = (us_i); /* us_i gets populated as TOTUSJZ */ | *us_i_ptr = (us_i); /* us_i gets populated as TOTUSJZ */ |
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*us_i_err_ptr = (sqrt(err))*fabs((cdelt1/1)*(rsun_ref/rsun_obs)*(0.00010)*(1/MUNAUGHT)); // error in the quantity TOTUSJZ |
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//printf("MEANJZD=%f\n",*mean_jz_ptr); |
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//printf("MEANJZD_err=%f\n",*mean_jz_err_ptr); |
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//printf("TOTUSJZ=%g\n",*us_i_ptr); |
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//printf("TOTUSJZ_err=%g\n",*us_i_err_ptr); |
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return 0; | return 0; |
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} | } |
Line 596 int computeJzsmooth(float *bx, float *by |
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Line 674 int computeJzsmooth(float *bx, float *by |
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// (abs(sum of all Jz at positive Bz) + abs(sum of all Jz at negative Bz)) = avg Jz | // (abs(sum of all Jz at positive Bz) + abs(sum of all Jz at negative Bz)) = avg Jz |
// avg alpha = avg Jz / avg Bz | // avg alpha = avg Jz / avg Bz |
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// The sign is assigned as follows: |
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// If the sum of all Bz is greater than 0, then evaluate the sum of Jz at the positive Bz pixels. |
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// If this value is > 0, then alpha is > 0. |
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// If this value is < 0, then alpha is <0. |
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// |
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// If the sum of all Bz is less than 0, then evaluate the sum of Jz at the negative Bz pixels. |
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// If this value is > 0, then alpha is < 0. |
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// If this value is < 0, then alpha is > 0. |
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// The units of alpha are in 1/Mm | // The units of alpha are in 1/Mm |
// The units of Jz are in Gauss/pix; the units of Bz are in Gauss. | // The units of Jz are in Gauss/pix; the units of Bz are in Gauss. |
// | // |
Line 603 int computeJzsmooth(float *bx, float *by |
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Line 690 int computeJzsmooth(float *bx, float *by |
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// = (Gauss/pix)(1/Gauss)(1/CDELT1)(RSUN_OBS/RSUN_REF)(10^6) | // = (Gauss/pix)(1/Gauss)(1/CDELT1)(RSUN_OBS/RSUN_REF)(10^6) |
// = 1/Mm | // = 1/Mm |
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int computeAlpha(float *bz, int *dims, float *jz_smooth, float *mean_alpha_ptr, int *mask, int *bitmask, |
int computeAlpha(float *jz_err, float *bz_err, float *bz, int *dims, float *jz, float *jz_smooth, float *mean_alpha_ptr, float *mean_alpha_err_ptr, int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
float cdelt1, double rsun_ref, double rsun_obs) |
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{ | { |
int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j=0; |
int ny = dims[1]; |
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int i = 0; |
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int j = 0; |
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int count_mask = 0; |
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double a = 0.0; |
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double b = 0.0; |
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double c = 0.0; |
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double d = 0.0; |
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double sum1 = 0.0; |
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double sum2 = 0.0; |
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double sum3 = 0.0; |
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double sum4 = 0.0; |
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double sum = 0.0; |
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double sum5 = 0.0; |
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double sum6 = 0.0; |
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double sum_err = 0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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*mean_alpha_ptr = 0.0; |
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float aa, bb, cc, bznew, alpha2, sum1, sum2, sum3, sum4, sum, sum5, sum6=0.0; |
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for (i = 1; i < nx-1; i++) | for (i = 1; i < nx-1; i++) |
{ | { |
for (j = 1; j < ny-1; j++) | for (j = 1; j < ny-1; j++) |
{ | { |
if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
if isnan(jz_smooth[j * nx + i]) continue; |
if isnan(jz[j * nx + i]) continue; |
if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
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if (jz[j * nx + i] == 0.0) continue; |
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if (bz_err[j * nx + i] == 0.0) continue; |
if (bz[j * nx + i] == 0.0) continue; | if (bz[j * nx + i] == 0.0) continue; |
if (bz[j * nx + i] > 0) sum1 += ( bz[j * nx + i]); |
if (bz[j * nx + i] > 0) sum1 += ( bz[j * nx + i] ); a++; |
if (bz[j * nx + i] <= 0) sum2 += ( bz[j * nx + i]); |
if (bz[j * nx + i] <= 0) sum2 += ( bz[j * nx + i] ); b++; |
if (bz[j * nx + i] > 0) sum3 += ( jz_smooth[j * nx + i]); |
if (bz[j * nx + i] > 0) sum3 += ( jz[j * nx + i] ); c++; |
if (bz[j * nx + i] <= 0) sum4 += ( jz_smooth[j * nx + i]); |
if (bz[j * nx + i] <= 0) sum4 += ( jz[j * nx + i] ); d++; |
sum5 += bz[j * nx + i]; | sum5 += bz[j * nx + i]; |
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/* sum_err is a fractional uncertainty */ |
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sum_err += sqrt(((jz_err[j * nx + i]*jz_err[j * nx + i])/(jz[j * nx + i]*jz[j * nx + i])) + ((bz_err[j * nx + i]*bz_err[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i]))) * fabs( ( (jz[j * nx + i]) / (bz[j * nx + i]) ) *(1/cdelt1)*(rsun_obs/rsun_ref)*(1000000.)); |
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count_mask++; |
} | } |
} | } |
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Line 640 int computeAlpha(float *bz, int *dims, f |
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Line 743 int computeAlpha(float *bz, int *dims, f |
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if ((sum5 < 0) && (sum4 > 0)) sum=-sum; | if ((sum5 < 0) && (sum4 > 0)) sum=-sum; |
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*mean_alpha_ptr = sum; /* Units are 1/Mm */ | *mean_alpha_ptr = sum; /* Units are 1/Mm */ |
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*mean_alpha_err_ptr = (sqrt(sum_err*sum_err)) / ((a+b+c+d)*100.0); // error in the quantity (sum)/(count_mask); factor of 100 comes from converting percent |
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//printf("MEANALP=%f\n",*mean_alpha_ptr); |
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//printf("MEANALP_err=%f\n",*mean_alpha_err_ptr); |
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return 0; | return 0; |
} | } |
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/*===========================================*/ | /*===========================================*/ |
/* Example function 11: Helicity (mean current helicty, mean unsigned current helicity, and mean absolute current helicity) */ |
/* Example function 11: Helicity (mean current helicty, total unsigned current helicity, absolute value of net current helicity) */ |
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// The current helicity is defined as Bz*Jz and the units are G^2 / m | // The current helicity is defined as Bz*Jz and the units are G^2 / m |
// The units of Jz are in G/pix; the units of Bz are in G. | // The units of Jz are in G/pix; the units of Bz are in G. |
// Therefore, the units of Bz*Jz = (Gauss)*(Gauss/pix) = (Gauss^2/pix)(pix/arcsec)(arcsec/m) |
// Therefore, the units of Bz*Jz = (Gauss)*(Gauss/pix) = (Gauss^2/pix)(pix/arcsec)(arcsec/meter) |
// = (Gauss^2/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF) | // = (Gauss^2/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF) |
// = G^2 / m. | // = G^2 / m. |
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int computeHelicity(float *jz_err, float *jz_rms_err, float *bz_err, float *bz, int *dims, float *jz, float *mean_ih_ptr, |
int computeHelicity(float *bz, int *dims, float *jz_smooth, float *mean_ih_ptr, float *total_us_ih_ptr, |
float *mean_ih_err_ptr, float *total_us_ih_ptr, float *total_abs_ih_ptr, |
float *total_abs_ih_ptr, int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
float *total_us_ih_err_ptr, float *total_abs_ih_err_ptr, int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
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{ | { |
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int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i = 0; |
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int j = 0; |
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int count_mask = 0; |
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double sum = 0.0; |
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double sum2 = 0.0; |
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double sum_err = 0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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*mean_ih_ptr = 0.0; |
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float sum=0.0, sum2=0.0; |
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for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
{ | { |
for (j = 0; j < ny; j++) | for (j = 0; j < ny; j++) |
{ | { |
if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
if isnan(jz_smooth[j * nx + i]) continue; |
if isnan(jz[j * nx + i]) continue; |
if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
if (bz[j * nx + i] == 0.0) continue; | if (bz[j * nx + i] == 0.0) continue; |
if (jz_smooth[j * nx + i] == 0.0) continue; |
if (jz[j * nx + i] == 0.0) continue; |
sum += (jz_smooth[j * nx + i]*bz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref); |
sum += (jz[j * nx + i]*bz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref); // contributes to MEANJZH and ABSNJZH |
sum2 += fabs(jz_smooth[j * nx + i]*bz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref); |
sum2 += fabs(jz[j * nx + i]*bz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref); // contributes to TOTUSJH |
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sum_err += sqrt(((jz_err[j * nx + i]*jz_err[j * nx + i])/(jz[j * nx + i]*jz[j * nx + i])) + ((bz_err[j * nx + i]*bz_err[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i]))) * fabs(jz[j * nx + i]*bz[j * nx + i]*(1/cdelt1)*(rsun_obs/rsun_ref)); |
count_mask++; | count_mask++; |
} | } |
} | } |
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printf("sum/count_mask=%f\n",sum/count_mask); |
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printf("(1/cdelt1)*(rsun_obs/rsun_ref)=%f\n",(1/cdelt1)*(rsun_obs/rsun_ref)); |
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*mean_ih_ptr = sum/count_mask; /* Units are G^2 / m ; keyword is MEANJZH */ | *mean_ih_ptr = sum/count_mask; /* Units are G^2 / m ; keyword is MEANJZH */ |
*total_us_ih_ptr = sum2; /* Units are G^2 / m */ |
*total_us_ih_ptr = sum2 ; /* Units are G^2 / m ; keyword is TOTUSJH */ |
*total_abs_ih_ptr= fabs(sum); /* Units are G^2 / m */ |
*total_abs_ih_ptr = fabs(sum) ; /* Units are G^2 / m ; keyword is ABSNJZH */ |
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*mean_ih_err_ptr = (sqrt(sum_err*sum_err)) / (count_mask*100.0) ; // error in the quantity MEANJZH |
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*total_us_ih_err_ptr = (sqrt(sum_err*sum_err)) / (100.0) ; // error in the quantity TOTUSJH |
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*total_abs_ih_err_ptr = (sqrt(sum_err*sum_err)) / (100.0) ; // error in the quantity ABSNJZH |
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//printf("MEANJZH=%f\n",*mean_ih_ptr); |
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//printf("MEANJZH_err=%f\n",*mean_ih_err_ptr); |
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//printf("TOTUSJH=%f\n",*total_us_ih_ptr); |
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//printf("TOTUSJH_err=%f\n",*total_us_ih_err_ptr); |
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//printf("ABSNJZH=%f\n",*total_abs_ih_ptr); |
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//printf("ABSNJZH_err=%f\n",*total_abs_ih_err_ptr); |
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return 0; | return 0; |
} | } |
Line 698 int computeHelicity(float *bz, int *dims |
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Line 821 int computeHelicity(float *bz, int *dims |
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// The units of jz are in G/pix. In this case, we would have the following: | // The units of jz are in G/pix. In this case, we would have the following: |
// Jz = (Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(RSUN_REF/RSUN_OBS)(RSUN_OBS/RSUN_REF), | // Jz = (Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(RSUN_REF/RSUN_OBS)(RSUN_OBS/RSUN_REF), |
// = (Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS) | // = (Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS) |
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// |
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// The error in this quantity is the same as the error in the mean vertical current (mean_jz_err). |
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int computeSumAbsPerPolarity(float *bz, float *jz_smooth, int *dims, float *totaljzptr, |
int computeSumAbsPerPolarity(float *jz_err, float *bz_err, float *bz, float *jz, int *dims, float *totaljzptr, float *totaljz_err_ptr, |
int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) | int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
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{ | { |
int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i=0; |
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int j=0; |
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int count_mask=0; |
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double sum1=0.0; |
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double sum2=0.0; |
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double err=0.0; |
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*totaljzptr=0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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*totaljzptr=0.0; |
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float sum1=0.0, sum2=0.0; |
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for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
{ | { |
for (j = 0; j < ny; j++) | for (j = 0; j < ny; j++) |
{ | { |
if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
if (bz[j * nx + i] > 0) sum1 += ( jz_smooth[j * nx + i])*(1/cdelt1)*(0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs); |
if isnan(jz[j * nx + i]) continue; |
if (bz[j * nx + i] <= 0) sum2 += ( jz_smooth[j * nx + i])*(1/cdelt1)*(0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs); |
if (bz[j * nx + i] > 0) sum1 += ( jz[j * nx + i])*(1/cdelt1)*(0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs); |
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if (bz[j * nx + i] <= 0) sum2 += ( jz[j * nx + i])*(1/cdelt1)*(0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs); |
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err += (jz_err[j * nx + i]*jz_err[j * nx + i]); |
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count_mask++; |
} | } |
} | } |
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*totaljzptr = fabs(sum1) + fabs(sum2); /* Units are A */ | *totaljzptr = fabs(sum1) + fabs(sum2); /* Units are A */ |
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*totaljz_err_ptr = sqrt(err)*(1/cdelt1)*fabs((0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs)); |
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//printf("SAVNCPP=%g\n",*totaljzptr); |
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//printf("SAVNCPP_err=%g\n",*totaljz_err_ptr); |
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return 0; | return 0; |
} | } |
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/*===========================================*/ | /*===========================================*/ |
/* Example function 13: Mean photospheric excess magnetic energy and total photospheric excess magnetic energy density */ | /* Example function 13: Mean photospheric excess magnetic energy and total photospheric excess magnetic energy density */ |
// The units for magnetic energy density in cgs are ergs per cubic centimeter. The formula B^2/8*PI integrated over all space, dV | // The units for magnetic energy density in cgs are ergs per cubic centimeter. The formula B^2/8*PI integrated over all space, dV |
// automatically yields erg per cubic centimeter for an input B in Gauss. |
// automatically yields erg per cubic centimeter for an input B in Gauss. Note that the 8*PI can come out of the integral; thus, |
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// the integral is over B^2 dV and the 8*PI is divided at the end. |
// | // |
// Total magnetic energy is the magnetic energy density times dA, or the area, and the units are thus ergs/cm. To convert | // Total magnetic energy is the magnetic energy density times dA, or the area, and the units are thus ergs/cm. To convert |
// ergs per centimeter cubed to ergs per centimeter, simply multiply by the area per pixel in cm: | // ergs per centimeter cubed to ergs per centimeter, simply multiply by the area per pixel in cm: |
// erg/cm^3(CDELT1)^2(RSUN_REF/RSUN_OBS)^2(100.)^2 |
// erg/cm^3*(CDELT1^2)*(RSUN_REF/RSUN_OBS ^2)*(100.^2) |
// = erg/cm^3(0.5 arcsec/pix)^2(722500m/arcsec)^2(100cm/m)^2 |
// = erg/cm^3*(0.5 arcsec/pix)^2(722500m/arcsec)^2(100cm/m)^2 |
// = erg/cm^3(1.30501e15) |
// = erg/cm^3*(1.30501e15) |
// = erg/cm(1/pix^2) | // = erg/cm(1/pix^2) |
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int computeFreeEnergy(float *bx, float *by, float *bpx, float *bpy, int *dims, |
int computeFreeEnergy(float *bx_err, float *by_err, float *bx, float *by, float *bpx, float *bpy, int *dims, |
float *meanpotptr, float *totpotptr, int *mask, int *bitmask, |
float *meanpotptr, float *meanpot_err_ptr, float *totpotptr, float *totpot_err_ptr, int *mask, int *bitmask, |
float cdelt1, double rsun_ref, double rsun_obs) | float cdelt1, double rsun_ref, double rsun_obs) |
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{ | { |
int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j, count_mask=0; |
int ny = dims[1]; |
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int i = 0; |
if (nx <= 0 || ny <= 0) return 1; |
int j = 0; |
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int count_mask = 0; |
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double sum = 0.0; |
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double sum1 = 0.0; |
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double err = 0.0; |
*totpotptr=0.0; | *totpotptr=0.0; |
*meanpotptr=0.0; | *meanpotptr=0.0; |
float sum=0.0; |
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if (nx <= 0 || ny <= 0) return 1; |
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for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
{ | { |
Line 759 int computeFreeEnergy(float *bx, float * |
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Line 900 int computeFreeEnergy(float *bx, float * |
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if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
if isnan(bx[j * nx + i]) continue; | if isnan(bx[j * nx + i]) continue; |
if isnan(by[j * nx + i]) continue; | if isnan(by[j * nx + i]) continue; |
sum += (( ((bx[j * nx + i])*(bx[j * nx + i]) + (by[j * nx + i])*(by[j * nx + i]) ) - ((bpx[j * nx + i])*(bpx[j * nx + i]) + (bpy[j * nx + i])*(bpy[j * nx + i])) )/8.*PI); |
sum += ( ((bpx[j * nx + i] - bx[j * nx + i])*(bpx[j * nx + i] - bx[j * nx + i])) + ((bpy[j * nx + i] - by[j * nx + i])*(bpy[j * nx + i] - by[j * nx + i])) )*(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0); |
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sum1 += ( ((bpx[j * nx + i] - bx[j * nx + i])*(bpx[j * nx + i] - bx[j * nx + i])) + ((bpy[j * nx + i] - by[j * nx + i])*(bpy[j * nx + i] - by[j * nx + i])) ); |
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err += (4.0*bx[j * nx + i]*bx[j * nx + i]*bx_err[j * nx + i]*bx_err[j * nx + i]) + (4.0*by[j * nx + i]*by[j * nx + i]*by_err[j * nx + i]*by_err[j * nx + i]); |
count_mask++; | count_mask++; |
} | } |
} | } |
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*meanpotptr = (sum)/(count_mask); /* Units are ergs per cubic centimeter */ |
*meanpotptr = (sum1/(8.*PI)) / (count_mask); /* Units are ergs per cubic centimeter */ |
*totpotptr = sum*(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0)*(count_mask); /* Units of sum are ergs/cm^3, units of factor are cm^2/pix^2, units of count_mask are pix^2; therefore, units of totpotptr are ergs per centimeter */ |
*meanpot_err_ptr = (sqrt(err))*fabs(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0) / (count_mask*8.*PI); // error in the quantity (sum)/(count_mask) |
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/* Units of sum are ergs/cm^3, units of factor are cm^2/pix^2; therefore, units of totpotptr are ergs per centimeter */ |
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*totpotptr = (sum)/(8.*PI); |
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*totpot_err_ptr = (sqrt(err))*fabs(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0*(1/(8.*PI))); |
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//printf("MEANPOT=%g\n",*meanpotptr); |
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//printf("MEANPOT_err=%g\n",*meanpot_err_ptr); |
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//printf("TOTPOT=%g\n",*totpotptr); |
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//printf("TOTPOT_err=%g\n",*totpot_err_ptr); |
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return 0; | return 0; |
} | } |
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/*===========================================*/ | /*===========================================*/ |
/* Example function 14: Mean 3D shear angle, area with shear greater than 45, mean horizontal shear angle, area with horizontal shear angle greater than 45 */ | /* Example function 14: Mean 3D shear angle, area with shear greater than 45, mean horizontal shear angle, area with horizontal shear angle greater than 45 */ |
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int computeShearAngle(float *bx, float *by, float *bz, float *bpx, float *bpy, float *bpz, int *dims, |
int computeShearAngle(float *bx_err, float *by_err, float *bh_err, float *bx, float *by, float *bz, float *bpx, float *bpy, float *bpz, int *dims, |
float *meanshear_angleptr, float *area_w_shear_gt_45ptr, |
float *meanshear_angleptr, float *meanshear_angle_err_ptr, float *area_w_shear_gt_45ptr, int *mask, int *bitmask) |
float *meanshear_anglehptr, float *area_w_shear_gt_45hptr, |
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int *mask, int *bitmask) |
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{ | { |
int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
int i, j; |
int ny = dims[1]; |
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int i = 0; |
if (nx <= 0 || ny <= 0) return 1; |
int j = 0; |
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int count_mask = 0; |
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double dotproduct = 0.0; |
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double magnitude_potential = 0.0; |
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double magnitude_vector = 0.0; |
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double shear_angle = 0.0; |
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double err = 0.0; |
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double sum = 0.0; |
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double count = 0.0; |
*area_w_shear_gt_45ptr=0.0; | *area_w_shear_gt_45ptr=0.0; |
*meanshear_angleptr=0.0; | *meanshear_angleptr=0.0; |
float dotproduct, magnitude_potential, magnitude_vector, shear_angle=0.0, sum = 0.0, count=0.0, count_mask=0.0; |
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float dotproducth, magnitude_potentialh, magnitude_vectorh, shear_angleh=0.0, sum1 = 0.0, counth = 0.0; |
if (nx <= 0 || ny <= 0) return 1; |
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for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
{ | { |
Line 805 int computeShearAngle(float *bx, float * |
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Line 964 int computeShearAngle(float *bx, float * |
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shear_angle = acos(dotproduct/(magnitude_potential*magnitude_vector))*(180./PI); | shear_angle = acos(dotproduct/(magnitude_potential*magnitude_vector))*(180./PI); |
count ++; | count ++; |
sum += shear_angle ; | sum += shear_angle ; |
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err += -(1./(1.- sqrt(bx_err[j * nx + i]*bx_err[j * nx + i]+by_err[j * nx + i]*by_err[j * nx + i]+bh_err[j * nx + i]*bh_err[j * nx + i]))); |
if (shear_angle > 45) count_mask ++; | if (shear_angle > 45) count_mask ++; |
} | } |
} | } |
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/* For mean 3D shear angle, area with shear greater than 45*/ | /* For mean 3D shear angle, area with shear greater than 45*/ |
*meanshear_angleptr = (sum)/(count); /* Units are degrees */ | *meanshear_angleptr = (sum)/(count); /* Units are degrees */ |
printf("count_mask=%f\n",count_mask); |
*meanshear_angle_err_ptr = (sqrt(err*err))/(count); // error in the quantity (sum)/(count_mask) |
printf("count=%f\n",count); |
*area_w_shear_gt_45ptr = (count_mask/(count))*(100.0);/* The area here is a fractional area -- the % of the total area */ |
*area_w_shear_gt_45ptr = (count_mask/(count))*(100.); /* The area here is a fractional area -- the % of the total area */ |
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//printf("MEANSHR=%f\n",*meanshear_angleptr); |
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//printf("MEANSHR_err=%f\n",*meanshear_angle_err_ptr); |
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return 0; | return 0; |
} | } |
Line 934 void greenpot(float *bx, float *by, floa |
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Line 1096 void greenpot(float *bx, float *by, floa |
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/*===========END OF KEIJI'S CODE =========================*/ | /*===========END OF KEIJI'S CODE =========================*/ |
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char *sw_functions_version() // Returns CVS version of sw_functions.c |
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{ |
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return strdup("$Id$"); |
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} |
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/* ---------------- end of this file ----------------*/ | /* ---------------- end of this file ----------------*/ |